Set up equations for each gym.
multiply daily cost by number of days(x) and add the fee:
Muscle max: 2x + 30
Capital: 4x + 10
Now set them
Equal to each other and solve for x:
2x + 30 = 4x + 10
Subtract 2x from both sides :
30 = 2x + 10
Subtract 10 from both sides :
20 = 2x
Divide both sides by 2:
X = 10
It will take 10 days
Suppose that there are two internet service providers in Kabwe, Eyeconnect and Topconnect.
Currently, Eyeconnect has 180 000 customers and Topconnect has 120 000 customers.
Assume that, every year, 10% of the customer base of Eyeconnect switches to Topconnect
and 5% of the customer base of Topconnect switches to Eyeconnect. For the purposes of this
question, suppose no customer leaves a company without switching to the other one and no
company attracts customers that are not leaving the other (that is, the only changes in
customer base come from switching between the two companies).
a. Find the number of customers of Eyeconnect and Topconnect after one year.
b. Find the number of customers of Eyeconnect after many years.
Answer:
a. 168000 for Eyeconnect, 132000 for Topconnect
b. 100,000
Step-by-step explanation:
a.
Because the change in customers are only due to leaving companies, we can say that, after one year, Eyeconnect loses 10% of its customers to Topconnect and Topconnect loses 5% of its customers to Eyeconnect. This represents all changes in customers.
First, we can calculate how much Eyeconnect loses, which is 10% of 180,000 = 0.1 * 180,000 = 18,000 . They then have 180,000 - 18,000 = 162,000 employees
Next, Topconnect loses 120,000 * 5% = 120,000 * 0.05 = 6,000. They then have 120,000-6,000 = 114,000 employees
We can then add the customer amounts. Note that we are subtracting both sides before adding as both companies gain and lose customers simultaneously.
We can then add how much one company lost to the other company's customers.
Eyeconnect gains 6,000 customers, so they then have 162,000 + 6,000 = 168000 employees. Topconnect gains 18,000 customers so they then have 114,000 + 18,000 = 132,000 employees
b.
After many years, the number of customers Eyeconnect has will be less than the number of customers that Topconnect has. One way to find the end amount of customers that Eyeconnect has is to figure out when the customer bases even out, or when Eyeconnect loses the same amount of customers as Topconnect so the customer base stays the exact same. We know that no customers leave or join the companies except to leave/join the other, so the total amount of customers between the two companies stays the exact same. The amount of customers is 180,000 + 120,000 = 300,000. Therefore, at the end amount,
Eyeconnect customers (E) + Topconnect customers (T) =300,000
Furthermore, if the amount of customers that leave Eyeconnect is the same that leaves Topconnect, we can say
E * 0.1 = T * 0.05
divide both sides by 0.05 to isolate the T
E * 0.1 / 0.05 = T
2 * E = T
plug that into the first equation
E + 2 * E = 300,000
3 * E = 300,000
divide both sides by 3 to isolate E
E = 100,000 after many years
Solve.
x^2 - 9x + 3 = 0
x= or x=
Answer:
Step-by-step explanation:
x^2 - 9x + 3 = 0 is a quadratic whose coefficients are a = 1, b = -9 and c = 3.
Use the quadratic formula to solve it.
The discriminant, b^2 - 4ac, is 81 - 4(1)(3), or 81 - 12, or 69.
The roots are:
-b ± √(discriminant)
x = -------------------------------
2a
And these roots in this particular problem are:
-(-9) ± √69 9 ± √69
= ------------------------------- = ----------------
2(1) 2
A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 34 that have no defects. What is the probability that at least one of the 4 calculators in the sample is defective
Answer:
The answer is "0.7616".
Step-by-step explanation:
Using formula:
[tex]\text{P( at least one de-fective) = 1 - P( all calculators work )}[/tex]
[tex]= 1-(\frac{34}{48}\times \frac{33}{47}\times \frac{32}{46}\times \frac{31}{45})\\\\= 1-(\frac{34}{1}\times \frac{11}{47}\times \frac{1}{23}\times \frac{31}{45})\\\\=1-(\frac{11594}{48647})\\\\=\frac{48647-11594}{48647}\\\\=\frac{37051}{48647}\approx 0.7616[/tex]
Ten samples were taken from a plating bath used in an electronics manufacturing process, and the bath pH was determined. The sample pH value are 7.91, 7.85, 6.82, 8.01, 7.46, 6.95, 7.05, 7.35, 7.25, 7.42. Manufacturing engineering believes that pH has a median value of 7.0. Do the sample data indicate that this statement is correct
Answer:
There is no sufficient evidence to support the claim.
Step-by-step explanation:
Given the data:
7.91, 7.85, 6.82, 8.01, 7.46, 6.95, 7.05, 7.35, 7.25, 7.42
Sample size, n = 10
The sample mean, xbar = ΣX/ n = 74.07 / 10 = 7.407
The sample standard deviation, s = 0.41158 ( from calculator)
The hypothesis :
H0 : μ = 7
H0 : μ ≠ 7
The test statistic :
(xbar - μ) ÷ (s/√(n))
(7.047 - 7) ÷ (0.41158/√(10))
0.047 / 0.1301530
Test statistic = 0.361
Testing the hypothesis at α = 0.05
The Pvalue ;
df = n - 1 ; 10 - 1 = 9
Two tailed test
Pvalue(0.361, 9) = 0.7263
Since the Pvalue > α ; we fail to reject the Null and conclude that there isn't sufficient evidence to support the claim.
Naomi invested $3,425 in an account that
pays 3% simple interest. what was the total
balance of the account after 15 years?
Answer:
$4,966.25
Step-by-step explanation:
3 x 15 = 45
After 15 years, Naomi would have earned a total of 45% interest rate.
3,425 x 1.45 = 4,966.25
Don't use .45 as the multiplier
3,425 x .45 = 1,541.25 <- incorrect
Write an algebraic expression that represents three less than the square of a number k.
Answer:
2k-3
Step-by-step explanation:
the square of k is k times k so 2k (two times k) and less than three means minus three.
Cual es el capital que prestado al 10% bimestral durante 6 meses y 10 días produce un interés de 1140
Respuesta:
3650
Explicación paso a paso:
Dado que :
Principal, P = capital prestado
Tasa anual, r = 10% * 6 = 60%
Interés = 1140
Periodo = 6 meses y 10 días = (6 * 30) +10 = 190 días
Conversión a años:
Periodo = 190/365
Usando la relación:
Interés = principal * tasa * tiempo
1140 = P * 60% * (190/365)
1140 = 0.3123287P
P = 1140 / 0,3123287
P = 3650
please help me with this
please mark this answer as brainlist
I'm not sure how to do this
Answer:
1 and 5 sevenths of a bag
Step-by-step explanation:
2/7 males half to it takes 4/7 to make a full one multiply 4 by 3 and you get 12/7 so that makes 1 and 5/7
Find the sequence of this term
41,40,48,38 35,--....,...
Answer:
hxvkgyjdh ht yshysfhyys is not working properly configured form and the kids will not work with a little over again. thank you
Teacher gives 2 questions to a class of 50 student. 30 students correctly answer ther first question, 25 students correctly answer the second question, 7 wongly answer both question, there are _ students correctly answer both question
Answer:
43
Step-by-step explanation:
only 7 out of the 50 got both wrong
Answer:
Step-by-step explanation:
Write the options so they are homogeneous in content. • Use answers given in previous open-ended exams to provide realistic distractors. 2. Use a Question ...
Find the length of the arc. Round your answer to the nearest tenth
Answer:
12.6 mi
Step-by-step explanation:
Arc length = 2πr (Θ/360)
2π(12) (60/360)
= 12.6 mi
Answered by g a u t h m a t h
Which graph represents the function h(x)=x+0.5
Answer:
The correct graph of h(x) will be number 3 (c).
Step-by-step explanation:
We have the function h(x) = |x| + 0.5
On putting x=0, in the function h(x), we get,
h(0) = |0| + 0.5
h(0)=0 + 0.5
h(0)=0.5
Thus, the point (0,0.5) lie on the graph of h(x).
The graph that represents the function h(x) is graph (c)
How to determine the graph?The equation is given as:
h(x) = |x| + 0.5
The above equation is an absolute value function
An absolute value function is represented as:
h(x) = a|x + h| + k
Where:
Vertex = (h,k)
By comparing h(x) = a|x + h| + k and h(x) = |x| + 0.5, we have:
h = 0 and k = 0.5
So, the vertex is (0,0.5)
The graph that has a vertex of (0,0.5) is graph (c)
Hence, the graph that represents the function h(x) is graph (c)
Read more about absolute value function at:
https://brainly.com/question/3381225
What is the discriminat of 2x+5x^=1
Answer:
don't know...........
find the sum of the given infinite geometric series. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW
Answer:
320/3
Step-by-step explanation:
First find the common ratio
20/80 = 1/4
The sum of an infinite geometric series
sum = a1/ (1-r) where a1 is the first term and r is the common ratio
=80/ ( 1-1/4)
= 80/(3/4)
= 80 *4/3
= 320/3
The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem
dN/dt = N(1 − 0.0008N), N(0) = 1.
Required:
Predict how many supermarkets are expected to adopt the new procedure over a long period of time?
Answer:
1250 supermarkets
Step-by-step explanation:
Given
[tex]\frac{dN}{dt} = N(1 - 0.0008N)[/tex]
[tex]N(0) = 1[/tex]
Required
Number of supermarkets over a long period of time
To do this, we simply set
[tex]\frac{dN}{dt} = 0[/tex]
So, we have:
[tex]N(1 - 0.0008N) = 0[/tex]
Split
[tex]N = 0\ or\ 1 - 0.0008N = 0[/tex]
Solve: [tex]1 - 0.0008N = 0[/tex]
Collect like terms
[tex]0.0008N = 1[/tex]
Make N the subject
[tex]N = \frac{1}{0.0008}[/tex]
[tex]N = 1250[/tex]
So:
[tex]\lim_{t \to \infty} N(t) = 1250[/tex]
How much bigger is the Sum of first 50 even numbers than the sum of first 50 odd numbers?
Answer:
50
Step-by-step explanation:
Sum Even numbers
n = 50
d = 2
a1 = 2
The last number is
an = a1 + (n-1)d
an = 2 + (50 - 1)*2
an = 2 + 49 * 2
an = 2 + 98
an = 100
Sum of the even numbers
Sum = (a1 + a50)*n/ 2
Sum = (2 + 100)*50/2
sum = 102 * 25
sum = 2550
Sum of the first 50 odd numbers
a1 = 1
n = 50
d = 2
l = ?
Find l
l = a1 + (n - 1)*2
l = 1 + 49*2
l = 99
Sum
Sum = (1 + 99)*50/2
Sum = 2500
The difference and answer is 2550 - 2500 = 50
h is a trigonometric function of the form h(x)=a sin(bx+c)+d. Below is the graph h(x). The function intersects its midline at (-pi,-8) and has a maximum point at (pi/4, "-1.5)." Find a formula for h(x). Give an exact expression.
Answer:
6.5sin(.04x+.4pi)-8
The function intersects its midline at (-pi,-8) and has a maximum point at (pi/4, "-1.5). The final equation is h(x) = 4 sin(2x + π /2) + 3.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The function intersects its midline at (3π/4, 3) then the midline is d= 3.
The amplitude is just the positive distance between the maximum/minimum and the midline,
so the amplitude a = 7 - 3 = 4
Also, given that period is 2π/b and the fact that the period is π from our given maximum,
we have the equation 2π/b= π where b = 2
we know that the phase shift, -c/b is - π/4 (or to the left)
since -π /4. Therefore, c = π /2.
our final equation is
h(x) = 4 sin(2x + π /2) + 3.
Learn more about function;
https://brainly.com/question/23483920
#SPJ2
Select the correct answer. Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not congruent. B. A translation will prove that shape 2 is congruent to shape 1. C. A rotation and a translation will prove that shape 2 is congruent to shape 1. D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
Answer:
Since I cant say which answer due to no graph, I'll tell you How to do so.
Step-by-step explanation:
if it is A, then the there is at least one angle or line length that is not the same. To find the area of a grided shape, use the traingle theorm of a^2+b^2=c^2.
if it is B, that meants moving the shape to the other will result in a perfect fit. Be sure to find if all side lengths are the same as that means that the shape IS congrouent, as equal side length means equal angles. However, it will not be this choice if the shape is mirrored to the other
A rotation and tranlastion means it is flipped either upside down or up and moved to the shape.
D, a reflection, which means its the opposite. Like a mirrored shape. Then you move it.
Remy drinks 2/1/4 cups of water every 1/4/5 hours.
How many cups of water does he drink in 1 hour?
Answer:
1¼ cups
Step-by-step explanation:
2¼ ÷ 1/4/5 =
9/4 ÷ 9/5 =
9/4 x 5/9 =
5/4 = 1¼
A researcher records the repair cost for 27 randomly selected refrigerators. A sample mean of $60.52 and standard deviation of $23.29 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value is [tex]T_c = 1.7056[/tex]
The 90% confidence interval for the mean repair cost for the refrigerators is ($52.875, $68.165).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7056, which means that the critical value is [tex]T_c = 1.7056[/tex]
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7056\frac{23.29}{\sqrt{27}} = 7.645[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 60.52 - 7.645 = $52.875.
The upper end of the interval is the sample mean added to M. So it is 60.52 + 7.645 = $68.165.
The 90% confidence interval for the mean repair cost for the refrigerators is ($52.875, $68.165).
The height of a triangle is 2 times the base. The area is 4 square inches. Find the base.
The base of the triangle is
inches.
Answer:
2 Inches
Step-by-step explanation:
Area of a triangle = (1/2)* Base * Hight
lets consider the base of the triangle is X inches,
then, Hight of the triangle is 2X
Then the Area of the Angle is = (1/2)*X*2X
4 = x^{2}
X = 2
identify an equation in point slope form for the line perpendicular to y=5x=2 that passes through (-6,-1)
Answer:
y=-1/5x-11/5
Step-by-step explanation:
perpendicular, product of both gradients = -1
hence, slope = -1/5
y=-1/5x+c
sub y=-1, x=-6
-1=-1/5(-6)+c
c = -1-6/5=-11/5
y=-1/5x-11/5
6 times the sum of 5 and K
Answer:
6(5+k)
Step-by-step explanation:
The sum of 5 and k
5+k
6 times the sum
6(5+k)
Can someone please help
Answer:
-2 <× <35
i hop i helped you sold the question
What is a placement form from the school mean
Answer:
Placements are basically extended internships or work experience assignments
Step-by-step explanation:
Determine the critical values for the confidence interval for the population standard deviation from the given values. Round your answers to three decimal places.
n = 12 and c = 0.9.
Answer:
The answer is "[tex]\chi^2_{L} = 4.575 \ and\ \chi^2_{U}= 19.675[/tex]"
Step-by-step explanation:
[tex]n=12\\\\\ c= 0.9[/tex]
Calculating the level of significance [tex](\alpha) = 1 -c[/tex]
[tex]=1-0.9\\\\=0.1[/tex]
Calculating the degrees of freedom:
[tex]df=n-1=12-1=11[/tex]
Calculating the critical value:
Applying the Chi-Square table, the critical values for the two-tailed test with a degree of freedom (11) for the significance level of [tex]\alpha = 0.1[/tex]:
[tex]\chi^2_{L} = 4.575 \\\\\chi^2_{U}= 19.675[/tex]
What are the possible degrees for the polynomial function?
Answer: Option 1
Degrees of 6 or greater
Answered by Gauthmath must click thanks and mark brainliest
In an episode of the old school version of the game show Family Feud, 43 out of a random sample of 100 people said they pick their noses at red lights. Find a 95% confidence interval of the proportion of all people who pick their noses at red lights. Be sure to interpret your answer
Answer:
[tex]P_{95\%}=(0.333,0.527)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=100[/tex]
Selected sample [tex]x=43[/tex]
Confidence Interval [tex]CI=95\%[/tex]
Significance Level [tex]\alpha=0.05[/tex]
Probability of picking nose is
[tex]P=\frac{x}{n}[/tex]
[tex]P=\frac{43}{100}[/tex]
[tex]P=0.43[/tex]
Generally the equation for standard error is mathematically given by
[tex]S.E=\sqrt{p*(1-p)}{n}[/tex]
[tex]S.E=\sqrt{0.4*(1-0.57)}{100}[/tex]
[tex]S.E=0.0495[/tex]
Therefore
The proportions 95\% interval is
[tex]P_{95\%}=[P-1.96x SE(P),P+1.96*SE(P)][/tex]
[tex]P_{95\%}=(0.43-1.96*0.0495,0.43+1.96*0.045)[/tex]
[tex]P_{95\%}=(0.333,0.527)[/tex]
I want to know how to solve this equation
9514 1404 393
Answer:
B
Step-by-step explanation:
To find the inverse of y = f(x), solve the equation x = f(y) for y. For these functions, that's about the easiest way to do it.
A. x = ∛(3y) ⇒ x³ = 3y ⇒ x³/3 = y . . . . . does not match g(x)
B. x = 11y -4 ⇒ x +4 = 11y ⇒ (x +4)/11 = y . . . . matches g(x)
C. x = 3/y -10 ⇒ x +10 = 3/y ⇒ 3/(x+10) = y . . . . does not match g(x)
D. x = y/12 +15 ⇒ x -15 = y/12 ⇒ 12(x -15) = y . . . . does not match g(x)
_____
Additional comment
This is repeated application of the "solve for ..." process. In general, that process "undoes" what is "done" to the variable. The order of operations can tell you the order of the things that are done. The undoing is in the reverse order.
You need to be completely comfortable with the properties of equality (addition, subtraction, multiplication, division), and you need to understand the inverse functions of the functions we usually use: (powers, roots), (exponentials, logarithms), (trig functions, inverse trig functions). Of course, the inverse of addition is subtraction; the inverse of multiplication is division.
__
Above, we used a "shortcut" a couple of times:
a = b/c ⇒ c = b/a . . . . . equivalent to multiplying both sides by c/a.
